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Vol.2 , No. 4, Publication Date: Sep. 27, 2016, Page: 34-37
![](https://www.facebook.com/dialog/feed?app_id=808315475849687&link=http://www.aascit.org/journal/archive2?journalId=928%26paperId=4354&redirect_uri=http://www.aascit.org/journal/archive2?journalId=928%26paperId=4354&display=popup&name=Behavior of Solutions of a System of Max-Type Difference Equations&description=We investigate the behavior of solutions of the system of the difference equations. <img width="107" height="23" src="http://article.aascit.org/journal/928/9280782/image002.jpg" />, <img width="109" height="22" src="http://article.aascit.org/journal/928/9280782/image003.jpg" />, n=0, 1, 2,…, where <img width="49" height="16" src="http://article.aascit.org/journal/928/9280782/image004.png" /> and A, B, C and the initial conditions <img width="180" height="10" src="http://article.aascit.org/journal/928/9280782/image005.jpg" /> are positive real numbers. We show that every solution of this system is bounded and eventually constsnt or eventually periodic with period <i>k+m+2</i>.&picture=http://www.aascit.org/aascit/decorators/img/journal/928.jpg)
| [1] | Ali Gelişken, Mathematics Department, Kamil Özdağ Faculty of Science, Karamanoğlu Mehmetbey University, Karaman, Turkey. |
We investigate the behavior of solutions of the system of the difference equations. 
, 
, n=0, 1, 2,…, where 
and A, B, C and the initial conditions 
are positive real numbers. We show that every solution of this system is bounded and eventually constsnt or eventually periodic with period k+m+2.
Keywords
System of Difference Equations, Positive Solution, Periodicity, Boundedness
Reference
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